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Number series

This section assesses students' inductive reasoning, quantitative reasoning, and number facility. The test presents a set of numbers, and the student is to select the number that would come next in the series.

    In order to answer a question, the student will need to:
  • Figure out the pattern from the given number series;
  • From the choices, select the one comes next in the series following the same pattern
    Below shows a number of typical patterns and examples
  • Adding a certain number to get the next:
    1.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    036912
    A) 7B) 21C) 15D) 19E) 17
    [Correct Answer]:C
  • Deducting a certain number to get the next:
    2.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    98765
    A) 4B) 5C) 2D) 7E) 8
    [Correct Answer]:A
  • Adding the previous two numbers to get the next:
    3.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    246101626
    A) 45B) 42C) 38D) 41E) 40
    [Correct Answer]:B
  • Every 3 numbers repeat:
    4.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    3453453453
    A) 6B) 7C) 3D) 5E) 4
    [Correct Answer]:E
  • Every 3 numbers repeat with order changes:
    5.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    246624462246
    A) 6B) 8C) 10D) 2E) 4
    [Correct Answer]:A
  • Every 4 numbers repeat:
    6.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    1
    6
     
    1
    5
     
    1
    4
     
    1
    3
     
    1
    6
     
    1
    5
     
    1
    4
     
    1
    3
     
    1
    6
     
    1
    5
     
    1
    4
     
    1
    3
     
    1
    6
     
    1
    5
     
    A)
    1
    3
     
    B)
    1
    4
     
    C)
    1
    8
     
    D)
    1
    6
     
    E)
    1
    7
     
    [Correct Answer]:B
  • Every 4 numbers as a group:
    7.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    12342234323442
    A) 2B) 1C) 4D) 3E) 5
    [Correct Answer]:D
  • Adding one to both denominator and numerator to get the next fraction:
    8.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    4
    5
     
    5
    6
     
    6
    7
     
    7
    8
     
    8
    9
     
    9
    10
     
    A)
    10
    11
     
    B)
    9
    11
     
    C)
    10
    9
     
    D)
    12
    11
     
    E)
    10
    12
     
    [Correct Answer]:A
  • Each number is square number in sequence:
    9.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    14916
    A) 25B) 20C) 40D) 5E) 15
    [Correct Answer]:A
  • Appending a digit following certain pattern to get the next number:
    10.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    545454445444544
    A) 444544B) 44454C) 445444D) 45444E) 4445444
    [Correct Answer]:A